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Implement a function to check if a binary tree is balanced. For the purposes of this question, a balanced tree is defined to be a tree such that the heights of the two subtrees of any node never differ by more than one
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- a) The preorder traversal of a Binary Search Tree (BST) is given below.40 20 10 15 25 30 60 50 80 100 Draw the BST and briefly explain the process you followed to build the tree. b) Write a function f1 that takes the root of a binary tree as a parameter and returns the sum of the nodes, which are the left child of another node. The root of the tree is not a child of any node. Consider the following class definitions while writing your code.class Node {public:int key;Node* left;Node* right;};Computer Science Exercise: depth [★★] Write a function depth : 'a tree -> int that returns the number of nodes in any longest path from the root to a leaf. For example, the depth of an empty tree (simply Leaf) is 0, and the depth of tree t above is 3. Hint: there is a library function max : 'a -> 'a -> 'a that returns the maximum of any two values of the same type. please use Ocaml for the codingWrite a menu-based program that implement simple binary Search Tree and write the following functions for that: 1.Write a function Add () that add a single leaf on each call according to BST. 2. Write function Delete () that delete the provided value on each call if exist.3.Write function In order () to display list of all nodes using in order traversing technique.4.Wire function Preorder () to display list of all nodes using preorder traversing technique.5.Wire function Post order () to display list of all nodes using post order traversing technique.
- The level of a node in the tree is the number of nodes in the path from the root to the node (including itself). For example, the node 15 in the example tree above has a level of 2. Write a function prune-tree that will take a tree representation as well as an integer level. It will return a new tree containing only nodes that have level not exceeding level. The order of the nodes in the result list should be the same as the original order in the tree. You may assume that level is a non-negative integer. write the program in racketWrite a function f1 that takes the root of a binary tree as a parameter and returns the sum of the nodes which are the right child of another node. The root of the tree is not a child of any node. Consider the following class definitions while writing your code. class Node { public: int key; Node* left; Node* right; };Write a C++ class called BSTArray with five basic functions for the BST: insert, search, findmin, findmax, and print: 1. int search(x): Find and return the index that stores element x using binary search tree mechanism. Print out all the elements in the search path. You must use the binary tree search algorithm. In other words, do NOT just do a linear search of the array. If the x value is not found, report an error and return -1. 2. int findmax( ): Find and return maximum value in BST. You must use the binary tree search algorithm. In other words, do NOT just perform a linear search of the array. If the tree is empty, return -1. 3. int findmin( ): Find and return minimum value in BST. In other words, do NOT just perform a linear search of the array. If the tree is empty, return -1. 4. void print( ): Print out the BST structure in the form of an array with index. Specifically, print the index of the array and the value stored at that index starting at zero and ending at the capacity of…
- 1. a function that takes in a list (L), and creates a copy of L. note: The function should return a pointer to the first element in the new L. [iteration and recursion]. 2. a function that takes in 2 sorted linked lists, and merges them into a single sorted list. note: This must be done in-place, and it must run in O(n+m).Given a singly linked list, print reverse of it using a recursive function printLinkedList( node *first ) where first is the pointer pointing to the first data node. For example, if the given linked list is 1->2->3->4, then output should be: 4 3 2 1 (note the whitespace in between each data value)Write a function f1 that takes the root of a binary tree as a parameter and returns thesum of the nodes which are the left child of another node. The root of the tree is not achild of any node.Consider the following class definitions while writing your code.class Node {public:int key;Node* left;Node* right;};
- In this project, you will develop algorithms that find road routes through the bridges to travel between islands. The input is a text file containing data about the given map. Each file begins with the number of rows and columns in the map considered as maximum latitudes and maximum longitudes respectively on the map. The character "X" in the file represents the water that means if a cell contains "X" then the traveler is not allowed to occupy that cell as this car is not drivable on water. The character "0" in the file represents the road connected island. That means if a cell contains "0" then the traveler is allowed to occupy that cell as this car can drive on roads. The traveler starts at the island located at latitude = 0 and longitude = 0 (i.e., (0,0)) in the upper left comer, and the goal is to drive to the island located at (MaxLattitude-1, MaxLongitudes-1) in the lower right corner. A legal move from an island is to move left, right, up, or down to an immediately adjacent cell…1. Using the above class map, write function void map::mapToGraph(graph &g){...} to create a graph g that represents the legal moves in the map m. Each vertex should represent a cell, and each edge should represent a legal move between adjacent cells. 2. Write a recursive function findPathRecursive(graph &g, stack &moves) that looks for a path from the start island to the destination island. If a path from the start to the destination exists, your function should call the map::printPath() function that should print a sequence of correct moves (Go left, Go right, Go down, Go up, etc.). If no path from the start to the destination exists, the program should print, "No path exists". If a solution exists the solver should also simulate the solution to each map by calling the map::print() function. The map::print() function prints out a map visualization, with the goal and current position of the car in the map at each move, marked to show the progress. Hint: consider recursive-DFS. 3.…Exercise 3D Write a function sundaram which implements this algorithm. You should check the results by comparing the final list to that produced by the sieve of Eratosthenes, and for the avoidance of doubt, the output of sundaram (5) should be [ 3,5,7,11].